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Simplifying 5(3x + 17) + 5(x + 22) = 385 Reorder the terms: 5(17 + 3x) + 5(x + 22) = 385 (17 * 5 + 3x * 5) + 5(x + 22) = 385 (85 + 15x) + 5(x + 22) = 385 Reorder the terms: 85 + 15x + 5(22 + x) = 385 85 + 15x + (22 * 5 + x * 5) = 385 85 + 15x + (110 + 5x) = 385 Reorder the terms: 85 + 110 + 15x + 5x = 385 Combine like terms: 85 + 110 = 195 195 + 15x + 5x = 385 Combine like terms: 15x + 5x = 20x 195 + 20x = 385 Solving 195 + 20x = 385 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-195' to each side of the equation. 195 + -195 + 20x = 385 + -195 Combine like terms: 195 + -195 = 0 0 + 20x = 385 + -195 20x = 385 + -195 Combine like terms: 385 + -195 = 190 20x = 190 Divide each side by '20'. x = 9.5 Simplifying x = 9.5
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